Scaling function and universal amplitude combinations for self-avoiding polygons

Richard C, Guttmann A, Jensen I (2001)

Publication Type: Journal article

Publication year: 2001

Journal

Journal of Physics A: Mathematical and General Iop Publishing Ltd

Publisher: Iop Publishing Ltd

Book Volume: 34

Pages Range: L495-L501

Journal Issue: 36

DOI: 10.1088/0305-4470/34/36/102

Abstract

We analyse new data for self-avoiding polygons (SAPs), on the square and
triangular lattices, enumerated by both perimeter and area, providing evidence
that the scaling function is the logarithm of an Airy function. The results imply
universal amplitude combinations for all area moments and suggest that rooted
SAPs may satisfy a q-algebraic functional equation.

Authors with CRIS profile

Christoph Richard Lehrstuhl für Mathematische Stochastik

Involved external institutions

The University of Melbourne AU Australia (AU)

How to cite

APA:

Richard, C., Guttmann, A., & Jensen, I. (2001). Scaling function and universal amplitude combinations for self-avoiding polygons. Journal of Physics A: Mathematical and General, 34(36), L495-L501. https://dx.doi.org/10.1088/0305-4470/34/36/102

MLA:

Richard, Christoph, Anthony Guttmann, and Iwan Jensen. "Scaling function and universal amplitude combinations for self-avoiding polygons." Journal of Physics A: Mathematical and General 34.36 (2001): L495-L501.

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